Special polynomials associated with the K2 hierarchy
Exactly Solvable and Integrable Systems
2009-11-13 v1
Abstract
New special polynomials associated with the rational solutions of analogue to the Painleve hierarchies are introduced. The Hirota relations for these special polynomials are found. Differential - difference hierarchies for finding special polynomials are presented. These formulae allow us to search the special polynomials associated with the hierarchy studied. The ordinary differential hierarchy for the Yablonskii - Vorob'ev polynomials is given.
Cite
@article{arxiv.nlin/0701013,
title = {Special polynomials associated with the K2 hierarchy},
author = {Nikolai A. Kudryashov},
journal= {arXiv preprint arXiv:nlin/0701013},
year = {2009}
}
Comments
24 pages, 5 figures